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Finding the Fourth Proportional to 321,344.31, 482,083.89 and 96,721.17

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Solution

The fourth proportional to 321,344.31, 482,083.89 and 96,721.17 is: 145,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,344.31 : 482,083.89 = 96,721.17 : x
  2. Step 2: Convert to fraction form
    321,344.31/482,083.89 = 96,721.17/x
  3. Step 3: Cross multiply
    321,344.31x = 482,083.89 × 96,721.17
  4. Step 4: Simplify right side
    321,344.31x = 46,627,717,878.95
  5. Step 5: Solve for x
    x = 46,627,717,878.95/321,344.31
  6. Step 6: Final answer
    x = 145,102.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.